#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define rep2(i, a, b) for (int i = (int)(a); i < (int)(b); ++i)
#define rrep(i, n) for (int i = (int)(n) - 1; i >= 0; --i)
#define rrep2(i, a, b) for (int i = (int)(b) - 1; i >= (int)(a); --i)
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
using namespace std;
using ll = long long;
template<class T, class U> bool chmin(T& a, const U& b) { return a > b ? a = b, true : false; }
template<class T, class U> bool chmax(T& a, const U& b) { return a < b ? a = b, true : false; }
class UndoableUF {
int n;
bool flag = true;
vector<int> par;
vector<tuple<int, int, bool>> history;
public:
UndoableUF(int n_) : n(n_ / 2), par(n_, -1) {}
int find(int x) { return par[x] < 0 ? x : find(par[x]); }
bool merge(int x, int y) {
x = find(x), y = find(y);
history.emplace_back(x, par[x], flag);
history.emplace_back(y, par[y], flag);
if (x == y) return false;
if (par[x] > par[y]) swap(x, y);
par[x] += par[y];
par[y] = x;
if (same(x, (x + n) % (2 * n))) flag = false;
return true;
}
bool same(int x, int y) { return find(x) == find(y); }
void undo() {
auto [x, px, _] = history.back(); history.pop_back();
auto [y, py, f] = history.back(); history.pop_back();
par[x] = px;
par[y] = py;
flag = f;
}
void snapshot() { history.clear(); }
void rollback() {
while (!history.empty()) undo();
}
bool is_bip() { return flag; }
};
int main() {
int N, M, Q; cin >> N >> M >> Q;
vector<pair<int, int>> A(M);
rep (i, M) {
cin >> A[i].first >> A[i].second;
--A[i].first, --A[i].second;
}
vector<array<int, 3>> B(Q);
rep (i, Q) {
cin >> B[i][0] >> B[i][1];
--B[i][0];
B[i][2] = i;
}
int block = N / sqrt(Q);
sort(all(B), [&](auto a, auto b) {
if (a[0] / block != b[0] / block) return a[0] < b[0];
return a[1] > b[1];
});
vector<bool> ans(Q);
int curl = block, curr = M;
UndoableUF uf(2 * N);
for (auto [l, r, k] : B) {
while (curl <= l) {
uf.rollback();
rep2 (i, curl - block, curl) {
if (i >= M) break;
uf.merge(A[i].first, A[i].second + N);
uf.merge(A[i].first + N, A[i].second);
}
uf.snapshot();
curl += block;
curr = M;
}
assert(curr >= r);
rrep2 (i, r, curr) {
uf.merge(A[i].first, A[i].second + N);
uf.merge(A[i].first + N, A[i].second);
}
curr = r;
rep2 (i, curl - block, l) {
uf.merge(A[i].first, A[i].second + N);
uf.merge(A[i].first + N, A[i].second);
}
ans[k] = uf.is_bip();
rep2 (i, curl - block, l) uf.undo(), uf.undo();
}
rep (i, Q) puts(ans[i] ? "NO" : "YES");
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Runtime error |
0 ms |
348 KB |
Execution killed with signal 8 |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Runtime error |
0 ms |
348 KB |
Execution killed with signal 8 |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
123 ms |
20292 KB |
Output is correct |
4 |
Correct |
123 ms |
21232 KB |
Output is correct |
5 |
Correct |
128 ms |
21656 KB |
Output is correct |
6 |
Correct |
127 ms |
20416 KB |
Output is correct |
7 |
Correct |
126 ms |
19944 KB |
Output is correct |
8 |
Correct |
142 ms |
20000 KB |
Output is correct |
9 |
Correct |
114 ms |
19900 KB |
Output is correct |
10 |
Correct |
127 ms |
20412 KB |
Output is correct |
11 |
Correct |
127 ms |
20416 KB |
Output is correct |
12 |
Correct |
126 ms |
21672 KB |
Output is correct |
13 |
Correct |
120 ms |
20608 KB |
Output is correct |
14 |
Correct |
125 ms |
21180 KB |
Output is correct |
15 |
Correct |
129 ms |
20928 KB |
Output is correct |
16 |
Correct |
126 ms |
20668 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Runtime error |
0 ms |
348 KB |
Execution killed with signal 8 |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Runtime error |
0 ms |
348 KB |
Execution killed with signal 8 |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Runtime error |
0 ms |
348 KB |
Execution killed with signal 8 |
7 |
Halted |
0 ms |
0 KB |
- |